Finding the Third Proportional to 81,776 and 123,070

Step by Step Solution

1. Step 1: Write the proportion equation
   81,776 : 123,070 = 123,070 : x
2. Step 2: Convert to fraction form
   81,776/123,070 = 123,070/x
3. Step 3: Cross multiply
   81,776x = 123,070 × 123,070
4. Step 4: Simplify right side
   81,776x = 15,146,224,900
5. Step 5: Solve for x
   x = 15,146,224,900/81,776
6. Step 6: Final answer
   x = 185,216.02