Finding the Third Proportional to 81,946 and 112,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,946 : 112,147.50 = 112,147.50 : x
2. Step 2: Convert to fraction form
   81,946/112,147.50 = 112,147.50/x
3. Step 3: Cross multiply
   81,946x = 112,147.50 × 112,147.50
4. Step 4: Simplify right side
   81,946x = 12,577,061,756.25
5. Step 5: Solve for x
   x = 12,577,061,756.25/81,946
6. Step 6: Final answer
   x = 153,479.87