Finding the Third Proportional to 100,564 and 147,558

Step by Step Solution

1. Step 1: Write the proportion equation
   100,564 : 147,558 = 147,558 : x
2. Step 2: Convert to fraction form
   100,564/147,558 = 147,558/x
3. Step 3: Cross multiply
   100,564x = 147,558 × 147,558
4. Step 4: Simplify right side
   100,564x = 21,773,363,364
5. Step 5: Solve for x
   x = 21,773,363,364/100,564
6. Step 6: Final answer
   x = 216,512.50