Finding the Third Proportional to 100,381 and 146,798.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,381 : 146,798.50 = 146,798.50 : x
2. Step 2: Convert to fraction form
   100,381/146,798.50 = 146,798.50/x
3. Step 3: Cross multiply
   100,381x = 146,798.50 × 146,798.50
4. Step 4: Simplify right side
   100,381x = 21,549,799,602.25
5. Step 5: Solve for x
   x = 21,549,799,602.25/100,381
6. Step 6: Final answer
   x = 214,680.06