Finding the Third Proportional to 40,492.13 and 83,577.38

Step by Step Solution

1. Step 1: Write the proportion equation
   40,492.13 : 83,577.38 = 83,577.38 : x
2. Step 2: Convert to fraction form
   40,492.13/83,577.38 = 83,577.38/x
3. Step 3: Cross multiply
   40,492.13x = 83,577.38 × 83,577.38
4. Step 4: Simplify right side
   40,492.13x = 6,985,177,611.89
5. Step 5: Solve for x
   x = 6,985,177,611.89/40,492.13
6. Step 6: Final answer
   x = 172,507.06