Finding the Third Proportional to 145,376 and 206,160

Step by Step Solution

1. Step 1: Write the proportion equation
   145,376 : 206,160 = 206,160 : x
2. Step 2: Convert to fraction form
   145,376/206,160 = 206,160/x
3. Step 3: Cross multiply
   145,376x = 206,160 × 206,160
4. Step 4: Simplify right side
   145,376x = 42,501,945,600
5. Step 5: Solve for x
   x = 42,501,945,600/145,376
6. Step 6: Final answer
   x = 292,358.75