Finding the Third Proportional to 122,532 and 187,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,532 : 187,402.50 = 187,402.50 : x
2. Step 2: Convert to fraction form
   122,532/187,402.50 = 187,402.50/x
3. Step 3: Cross multiply
   122,532x = 187,402.50 × 187,402.50
4. Step 4: Simplify right side
   122,532x = 35,119,697,006.25
5. Step 5: Solve for x
   x = 35,119,697,006.25/122,532
6. Step 6: Final answer
   x = 286,616.53