Finding the Third Proportional to 137,068 and 205,602

Step by Step Solution

1. Step 1: Write the proportion equation
   137,068 : 205,602 = 205,602 : x
2. Step 2: Convert to fraction form
   137,068/205,602 = 205,602/x
3. Step 3: Cross multiply
   137,068x = 205,602 × 205,602
4. Step 4: Simplify right side
   137,068x = 42,272,182,404
5. Step 5: Solve for x
   x = 42,272,182,404/137,068
6. Step 6: Final answer
   x = 308,403