Finding the Third Proportional to 152,409 and 233,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,409 : 233,005.50 = 233,005.50 : x
2. Step 2: Convert to fraction form
   152,409/233,005.50 = 233,005.50/x
3. Step 3: Cross multiply
   152,409x = 233,005.50 × 233,005.50
4. Step 4: Simplify right side
   152,409x = 54,291,563,030.25
5. Step 5: Solve for x
   x = 54,291,563,030.25/152,409
6. Step 6: Final answer
   x = 356,222.82