Finding the Third Proportional to 72,023 and 157,047

Step by Step Solution

1. Step 1: Write the proportion equation
   72,023 : 157,047 = 157,047 : x
2. Step 2: Convert to fraction form
   72,023/157,047 = 157,047/x
3. Step 3: Cross multiply
   72,023x = 157,047 × 157,047
4. Step 4: Simplify right side
   72,023x = 24,663,760,209
5. Step 5: Solve for x
   x = 24,663,760,209/72,023
6. Step 6: Final answer
   x = 342,442.83