Finding the Third Proportional to 40,224 and 88,362

Step by Step Solution

1. Step 1: Write the proportion equation
   40,224 : 88,362 = 88,362 : x
2. Step 2: Convert to fraction form
   40,224/88,362 = 88,362/x
3. Step 3: Cross multiply
   40,224x = 88,362 × 88,362
4. Step 4: Simplify right side
   40,224x = 7,807,843,044
5. Step 5: Solve for x
   x = 7,807,843,044/40,224
6. Step 6: Final answer
   x = 194,109.07