Finding the Third Proportional to 101,798 and 219,373.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,798 : 219,373.50 = 219,373.50 : x
2. Step 2: Convert to fraction form
   101,798/219,373.50 = 219,373.50/x
3. Step 3: Cross multiply
   101,798x = 219,373.50 × 219,373.50
4. Step 4: Simplify right side
   101,798x = 48,124,732,502.25
5. Step 5: Solve for x
   x = 48,124,732,502.25/101,798
6. Step 6: Final answer
   x = 472,747.33