Finding the Third Proportional to 137,565 and 197,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   137,565 : 197,590.50 = 197,590.50 : x
2. Step 2: Convert to fraction form
   137,565/197,590.50 = 197,590.50/x
3. Step 3: Cross multiply
   137,565x = 197,590.50 × 197,590.50
4. Step 4: Simplify right side
   137,565x = 39,042,005,690.25
5. Step 5: Solve for x
   x = 39,042,005,690.25/137,565
6. Step 6: Final answer
   x = 283,807.70