Finding the Third Proportional to 88,632 and 191,178

Step by Step Solution

1. Step 1: Write the proportion equation
   88,632 : 191,178 = 191,178 : x
2. Step 2: Convert to fraction form
   88,632/191,178 = 191,178/x
3. Step 3: Cross multiply
   88,632x = 191,178 × 191,178
4. Step 4: Simplify right side
   88,632x = 36,549,027,684
5. Step 5: Solve for x
   x = 36,549,027,684/88,632
6. Step 6: Final answer
   x = 412,368.31