Finding the Third Proportional to 40,407 and 88,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,407 : 88,156.50 = 88,156.50 : x
2. Step 2: Convert to fraction form
   40,407/88,156.50 = 88,156.50/x
3. Step 3: Cross multiply
   40,407x = 88,156.50 × 88,156.50
4. Step 4: Simplify right side
   40,407x = 7,771,568,492.25
5. Step 5: Solve for x
   x = 7,771,568,492.25/40,407
6. Step 6: Final answer
   x = 192,332.23