Finding the Third Proportional to 291,139.50 and 462,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,139.50 : 462,952.50 = 462,952.50 : x
2. Step 2: Convert to fraction form
   291,139.50/462,952.50 = 462,952.50/x
3. Step 3: Cross multiply
   291,139.50x = 462,952.50 × 462,952.50
4. Step 4: Simplify right side
   291,139.50x = 214,325,017,256.25
5. Step 5: Solve for x
   x = 214,325,017,256.25/291,139.50
6. Step 6: Final answer
   x = 736,159.19