Finding the Third Proportional to 309,681 and 452,577.50

Step by Step Solution

1. Step 1: Write the proportion equation
   309,681 : 452,577.50 = 452,577.50 : x
2. Step 2: Convert to fraction form
   309,681/452,577.50 = 452,577.50/x
3. Step 3: Cross multiply
   309,681x = 452,577.50 × 452,577.50
4. Step 4: Simplify right side
   309,681x = 204,826,393,506.25
5. Step 5: Solve for x
   x = 204,826,393,506.25/309,681
6. Step 6: Final answer
   x = 661,410.91