Finding the Third Proportional to 100,875 and 146,560

Step by Step Solution

1. Step 1: Write the proportion equation
   100,875 : 146,560 = 146,560 : x
2. Step 2: Convert to fraction form
   100,875/146,560 = 146,560/x
3. Step 3: Cross multiply
   100,875x = 146,560 × 146,560
4. Step 4: Simplify right side
   100,875x = 21,479,833,600
5. Step 5: Solve for x
   x = 21,479,833,600/100,875
6. Step 6: Final answer
   x = 212,935.15