Finding the Third Proportional to 148,565 and 230,138

Step by Step Solution

1. Step 1: Write the proportion equation
   148,565 : 230,138 = 230,138 : x
2. Step 2: Convert to fraction form
   148,565/230,138 = 230,138/x
3. Step 3: Cross multiply
   148,565x = 230,138 × 230,138
4. Step 4: Simplify right side
   148,565x = 52,963,499,044
5. Step 5: Solve for x
   x = 52,963,499,044/148,565
6. Step 6: Final answer
   x = 356,500.52