Finding the Third Proportional to 75,199 and 111,988.50

Step by Step Solution

1. Step 1: Write the proportion equation
   75,199 : 111,988.50 = 111,988.50 : x
2. Step 2: Convert to fraction form
   75,199/111,988.50 = 111,988.50/x
3. Step 3: Cross multiply
   75,199x = 111,988.50 × 111,988.50
4. Step 4: Simplify right side
   75,199x = 12,541,424,132.25
5. Step 5: Solve for x
   x = 12,541,424,132.25/75,199
6. Step 6: Final answer
   x = 166,776.47