Finding the Third Proportional to 88,496 and 191,066

Step by Step Solution

1. Step 1: Write the proportion equation
   88,496 : 191,066 = 191,066 : x
2. Step 2: Convert to fraction form
   88,496/191,066 = 191,066/x
3. Step 3: Cross multiply
   88,496x = 191,066 × 191,066
4. Step 4: Simplify right side
   88,496x = 36,506,216,356
5. Step 5: Solve for x
   x = 36,506,216,356/88,496
6. Step 6: Final answer
   x = 412,518.26