Finding the Third Proportional to 71,370 and 99,784

Step by Step Solution

1. Step 1: Write the proportion equation
   71,370 : 99,784 = 99,784 : x
2. Step 2: Convert to fraction form
   71,370/99,784 = 99,784/x
3. Step 3: Cross multiply
   71,370x = 99,784 × 99,784
4. Step 4: Simplify right side
   71,370x = 9,956,846,656
5. Step 5: Solve for x
   x = 9,956,846,656/71,370
6. Step 6: Final answer
   x = 139,510.25