Finding the Third Proportional to 689,094,003 and 1,059,186,892.50

Step by Step Solution

1. Step 1: Write the proportion equation
   689,094,003 : 1,059,186,892.50 = 1,059,186,892.50 : x
2. Step 2: Convert to fraction form
   689,094,003/1,059,186,892.50 = 1,059,186,892.50/x
3. Step 3: Cross multiply
   689,094,003x = 1,059,186,892.50 × 1,059,186,892.50
4. Step 4: Simplify right side
   689,094,003x = 1,121,876,873,243,806,592
5. Step 5: Solve for x
   x = 1,121,876,873,243,806,592/689,094,003
6. Step 6: Final answer
   x = 1,628,046,200.31