Finding the Third Proportional to 91,779 and 141,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,779 : 141,172.50 = 141,172.50 : x
2. Step 2: Convert to fraction form
   91,779/141,172.50 = 141,172.50/x
3. Step 3: Cross multiply
   91,779x = 141,172.50 × 141,172.50
4. Step 4: Simplify right side
   91,779x = 19,929,674,756.25
5. Step 5: Solve for x
   x = 19,929,674,756.25/91,779
6. Step 6: Final answer
   x = 217,148.53