Finding the Third Proportional to 82,163 and 117,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,163 : 117,412.50 = 117,412.50 : x
2. Step 2: Convert to fraction form
   82,163/117,412.50 = 117,412.50/x
3. Step 3: Cross multiply
   82,163x = 117,412.50 × 117,412.50
4. Step 4: Simplify right side
   82,163x = 13,785,695,156.25
5. Step 5: Solve for x
   x = 13,785,695,156.25/82,163
6. Step 6: Final answer
   x = 167,784.71