Finding the Third Proportional to 100,371 and 147,784.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,371 : 147,784.50 = 147,784.50 : x
2. Step 2: Convert to fraction form
   100,371/147,784.50 = 147,784.50/x
3. Step 3: Cross multiply
   100,371x = 147,784.50 × 147,784.50
4. Step 4: Simplify right side
   100,371x = 21,840,258,440.25
5. Step 5: Solve for x
   x = 21,840,258,440.25/100,371
6. Step 6: Final answer
   x = 217,595.31