Finding the Third Proportional to 74,625 and 118,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,625 : 118,162.50 = 118,162.50 : x
2. Step 2: Convert to fraction form
   74,625/118,162.50 = 118,162.50/x
3. Step 3: Cross multiply
   74,625x = 118,162.50 × 118,162.50
4. Step 4: Simplify right side
   74,625x = 13,962,376,406.25
5. Step 5: Solve for x
   x = 13,962,376,406.25/74,625
6. Step 6: Final answer
   x = 187,100.52