Finding the Third Proportional to 101,007 and 219,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,007 : 219,748.50 = 219,748.50 : x
2. Step 2: Convert to fraction form
   101,007/219,748.50 = 219,748.50/x
3. Step 3: Cross multiply
   101,007x = 219,748.50 × 219,748.50
4. Step 4: Simplify right side
   101,007x = 48,289,403,252.25
5. Step 5: Solve for x
   x = 48,289,403,252.25/101,007
6. Step 6: Final answer
   x = 478,079.77