Finding the Third Proportional to 102,978 and 137,322

Step by Step Solution

1. Step 1: Write the proportion equation
   102,978 : 137,322 = 137,322 : x
2. Step 2: Convert to fraction form
   102,978/137,322 = 137,322/x
3. Step 3: Cross multiply
   102,978x = 137,322 × 137,322
4. Step 4: Simplify right side
   102,978x = 18,857,331,684
5. Step 5: Solve for x
   x = 18,857,331,684/102,978
6. Step 6: Final answer
   x = 183,120.00