Finding the Third Proportional to 88,496 and 137,224

Step by Step Solution

1. Step 1: Write the proportion equation
   88,496 : 137,224 = 137,224 : x
2. Step 2: Convert to fraction form
   88,496/137,224 = 137,224/x
3. Step 3: Cross multiply
   88,496x = 137,224 × 137,224
4. Step 4: Simplify right side
   88,496x = 18,830,426,176
5. Step 5: Solve for x
   x = 18,830,426,176/88,496
6. Step 6: Final answer
   x = 212,782.79