Finding the Third Proportional to 83,232 and 188,280

Step by Step Solution

1. Step 1: Write the proportion equation
   83,232 : 188,280 = 188,280 : x
2. Step 2: Convert to fraction form
   83,232/188,280 = 188,280/x
3. Step 3: Cross multiply
   83,232x = 188,280 × 188,280
4. Step 4: Simplify right side
   83,232x = 35,449,358,400
5. Step 5: Solve for x
   x = 35,449,358,400/83,232
6. Step 6: Final answer
   x = 425,910.21