Finding the Third Proportional to 56,946 and 83,139

Step by Step Solution

1. Step 1: Write the proportion equation
   56,946 : 83,139 = 83,139 : x
2. Step 2: Convert to fraction form
   56,946/83,139 = 83,139/x
3. Step 3: Cross multiply
   56,946x = 83,139 × 83,139
4. Step 4: Simplify right side
   56,946x = 6,912,093,321
5. Step 5: Solve for x
   x = 6,912,093,321/56,946
6. Step 6: Final answer
   x = 121,379.79