Finding the Third Proportional to 88,527 and 191,139

Step by Step Solution

1. Step 1: Write the proportion equation
   88,527 : 191,139 = 191,139 : x
2. Step 2: Convert to fraction form
   88,527/191,139 = 191,139/x
3. Step 3: Cross multiply
   88,527x = 191,139 × 191,139
4. Step 4: Simplify right side
   88,527x = 36,534,117,321
5. Step 5: Solve for x
   x = 36,534,117,321/88,527
6. Step 6: Final answer
   x = 412,688.98