Finding the Third Proportional to 152,523 and 233,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,523 : 233,320.50 = 233,320.50 : x
2. Step 2: Convert to fraction form
   152,523/233,320.50 = 233,320.50/x
3. Step 3: Cross multiply
   152,523x = 233,320.50 × 233,320.50
4. Step 4: Simplify right side
   152,523x = 54,438,455,720.25
5. Step 5: Solve for x
   x = 54,438,455,720.25/152,523
6. Step 6: Final answer
   x = 356,919.65