Finding the Third Proportional to 208,194 and 462,972

Step by Step Solution

1. Step 1: Write the proportion equation
   208,194 : 462,972 = 462,972 : x
2. Step 2: Convert to fraction form
   208,194/462,972 = 462,972/x
3. Step 3: Cross multiply
   208,194x = 462,972 × 462,972
4. Step 4: Simplify right side
   208,194x = 214,343,072,784
5. Step 5: Solve for x
   x = 214,343,072,784/208,194
6. Step 6: Final answer
   x = 1,029,535.30