Finding the Third Proportional to 48,492 and 101,722.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,492 : 101,722.50 = 101,722.50 : x
2. Step 2: Convert to fraction form
   48,492/101,722.50 = 101,722.50/x
3. Step 3: Cross multiply
   48,492x = 101,722.50 × 101,722.50
4. Step 4: Simplify right side
   48,492x = 10,347,467,006.25
5. Step 5: Solve for x
   x = 10,347,467,006.25/48,492
6. Step 6: Final answer
   x = 213,385.03