Finding the Third Proportional to 152,535 and 230,773.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,535 : 230,773.50 = 230,773.50 : x
2. Step 2: Convert to fraction form
   152,535/230,773.50 = 230,773.50/x
3. Step 3: Cross multiply
   152,535x = 230,773.50 × 230,773.50
4. Step 4: Simplify right side
   152,535x = 53,256,408,302.25
5. Step 5: Solve for x
   x = 53,256,408,302.25/152,535
6. Step 6: Final answer
   x = 349,142.22