Finding the Third Proportional to 65,680 and 99,294

Step by Step Solution

1. Step 1: Write the proportion equation
   65,680 : 99,294 = 99,294 : x
2. Step 2: Convert to fraction form
   65,680/99,294 = 99,294/x
3. Step 3: Cross multiply
   65,680x = 99,294 × 99,294
4. Step 4: Simplify right side
   65,680x = 9,859,298,436
5. Step 5: Solve for x
   x = 9,859,298,436/65,680
6. Step 6: Final answer
   x = 150,111.12