Finding the Third Proportional to 436,643 and 694,327.50

Step by Step Solution

1. Step 1: Write the proportion equation
   436,643 : 694,327.50 = 694,327.50 : x
2. Step 2: Convert to fraction form
   436,643/694,327.50 = 694,327.50/x
3. Step 3: Cross multiply
   436,643x = 694,327.50 × 694,327.50
4. Step 4: Simplify right side
   436,643x = 482,090,677,256.25
5. Step 5: Solve for x
   x = 482,090,677,256.25/436,643
6. Step 6: Final answer
   x = 1,104,084.29