Finding the Third Proportional to 291,429 and 463,399.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,429 : 463,399.50 = 463,399.50 : x
2. Step 2: Convert to fraction form
   291,429/463,399.50 = 463,399.50/x
3. Step 3: Cross multiply
   291,429x = 463,399.50 × 463,399.50
4. Step 4: Simplify right side
   291,429x = 214,739,096,600.25
5. Step 5: Solve for x
   x = 214,739,096,600.25/291,429
6. Step 6: Final answer
   x = 736,848.76