Finding the Third Proportional to 98,536.50 and 152,178.75

Step by Step Solution

1. Step 1: Write the proportion equation
   98,536.50 : 152,178.75 = 152,178.75 : x
2. Step 2: Convert to fraction form
   98,536.50/152,178.75 = 152,178.75/x
3. Step 3: Cross multiply
   98,536.50x = 152,178.75 × 152,178.75
4. Step 4: Simplify right side
   98,536.50x = 23,158,371,951.56
5. Step 5: Solve for x
   x = 23,158,371,951.56/98,536.50
6. Step 6: Final answer
   x = 235,023.29