Finding the Third Proportional to 689,643 and 1,076,386.50

Step by Step Solution

1. Step 1: Write the proportion equation
   689,643 : 1,076,386.50 = 1,076,386.50 : x
2. Step 2: Convert to fraction form
   689,643/1,076,386.50 = 1,076,386.50/x
3. Step 3: Cross multiply
   689,643x = 1,076,386.50 × 1,076,386.50
4. Step 4: Simplify right side
   689,643x = 1,158,607,897,382.25
5. Step 5: Solve for x
   x = 1,158,607,897,382.25/689,643
6. Step 6: Final answer
   x = 1,680,011.10