Finding the Third Proportional to 74,731.50 and 114,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,731.50 : 114,286.50 = 114,286.50 : x
2. Step 2: Convert to fraction form
   74,731.50/114,286.50 = 114,286.50/x
3. Step 3: Cross multiply
   74,731.50x = 114,286.50 × 114,286.50
4. Step 4: Simplify right side
   74,731.50x = 13,061,404,082.25
5. Step 5: Solve for x
   x = 13,061,404,082.25/74,731.50
6. Step 6: Final answer
   x = 174,777.76