Finding the Third Proportional to 84,414 and 130,665.75

Step by Step Solution

1. Step 1: Write the proportion equation
   84,414 : 130,665.75 = 130,665.75 : x
2. Step 2: Convert to fraction form
   84,414/130,665.75 = 130,665.75/x
3. Step 3: Cross multiply
   84,414x = 130,665.75 × 130,665.75
4. Step 4: Simplify right side
   84,414x = 17,073,538,223.06
5. Step 5: Solve for x
   x = 17,073,538,223.06/84,414
6. Step 6: Final answer
   x = 202,259.56