Finding the Third Proportional to 88,064 and 191,840

Step by Step Solution

1. Step 1: Write the proportion equation
   88,064 : 191,840 = 191,840 : x
2. Step 2: Convert to fraction form
   88,064/191,840 = 191,840/x
3. Step 3: Cross multiply
   88,064x = 191,840 × 191,840
4. Step 4: Simplify right side
   88,064x = 36,802,585,600
5. Step 5: Solve for x
   x = 36,802,585,600/88,064
6. Step 6: Final answer
   x = 417,907.27