Finding the Third Proportional to 291,825 and 437,089.50

Step by Step Solution

1. Step 1: Write the proportion equation
   291,825 : 437,089.50 = 437,089.50 : x
2. Step 2: Convert to fraction form
   291,825/437,089.50 = 437,089.50/x
3. Step 3: Cross multiply
   291,825x = 437,089.50 × 437,089.50
4. Step 4: Simplify right side
   291,825x = 191,047,231,010.25
5. Step 5: Solve for x
   x = 191,047,231,010.25/291,825
6. Step 6: Final answer
   x = 654,663.69