Finding the Third Proportional to 64,322 and 137,140

Step by Step Solution

1. Step 1: Write the proportion equation
   64,322 : 137,140 = 137,140 : x
2. Step 2: Convert to fraction form
   64,322/137,140 = 137,140/x
3. Step 3: Cross multiply
   64,322x = 137,140 × 137,140
4. Step 4: Simplify right side
   64,322x = 18,807,379,600
5. Step 5: Solve for x
   x = 18,807,379,600/64,322
6. Step 6: Final answer
   x = 292,394.20