Finding the Third Proportional to 100,292 and 141,111

Step by Step Solution

1. Step 1: Write the proportion equation
   100,292 : 141,111 = 141,111 : x
2. Step 2: Convert to fraction form
   100,292/141,111 = 141,111/x
3. Step 3: Cross multiply
   100,292x = 141,111 × 141,111
4. Step 4: Simplify right side
   100,292x = 19,912,314,321
5. Step 5: Solve for x
   x = 19,912,314,321/100,292
6. Step 6: Final answer
   x = 198,543.40