Finding the Third Proportional to 291,098 and 462,890.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,098 : 462,890.50 = 462,890.50 : x
2. Step 2: Convert to fraction form
   291,098/462,890.50 = 462,890.50/x
3. Step 3: Cross multiply
   291,098x = 462,890.50 × 462,890.50
4. Step 4: Simplify right side
   291,098x = 214,267,614,990.25
5. Step 5: Solve for x
   x = 214,267,614,990.25/291,098
6. Step 6: Final answer
   x = 736,066.94