Finding the Third Proportional to 81,410 and 116,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,410 : 116,646.50 = 116,646.50 : x
2. Step 2: Convert to fraction form
   81,410/116,646.50 = 116,646.50/x
3. Step 3: Cross multiply
   81,410x = 116,646.50 × 116,646.50
4. Step 4: Simplify right side
   81,410x = 13,606,405,962.25
5. Step 5: Solve for x
   x = 13,606,405,962.25/81,410
6. Step 6: Final answer
   x = 167,134.33