Finding the Third Proportional to 1,023,493,174.69 and 1,462,598,416.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023,493,174.69 : 1,462,598,416.31 = 1,462,598,416.31 : x
2. Step 2: Convert to fraction form
   1,023,493,174.69/1,462,598,416.31 = 1,462,598,416.31/x
3. Step 3: Cross multiply
   1,023,493,174.69x = 1,462,598,416.31 × 1,462,598,416.31
4. Step 4: Simplify right side
   1,023,493,174.69x = 2,139,194,127,399,833,088
5. Step 5: Solve for x
   x = 2,139,194,127,399,833,088/1,023,493,174.69
6. Step 6: Final answer
   x = 2,090,091,248.58