Finding the Third Proportional to 64,577 and 87,222

Step by Step Solution

1. Step 1: Write the proportion equation
   64,577 : 87,222 = 87,222 : x
2. Step 2: Convert to fraction form
   64,577/87,222 = 87,222/x
3. Step 3: Cross multiply
   64,577x = 87,222 × 87,222
4. Step 4: Simplify right side
   64,577x = 7,607,677,284
5. Step 5: Solve for x
   x = 7,607,677,284/64,577
6. Step 6: Final answer
   x = 117,807.85