Finding the Third Proportional to 123,282 and 157,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   123,282 : 157,531.50 = 157,531.50 : x
2. Step 2: Convert to fraction form
   123,282/157,531.50 = 157,531.50/x
3. Step 3: Cross multiply
   123,282x = 157,531.50 × 157,531.50
4. Step 4: Simplify right side
   123,282x = 24,816,173,492.25
5. Step 5: Solve for x
   x = 24,816,173,492.25/123,282
6. Step 6: Final answer
   x = 201,296.00