Finding the Third Proportional to 101,466 and 217,012.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,466 : 217,012.50 = 217,012.50 : x
2. Step 2: Convert to fraction form
   101,466/217,012.50 = 217,012.50/x
3. Step 3: Cross multiply
   101,466x = 217,012.50 × 217,012.50
4. Step 4: Simplify right side
   101,466x = 47,094,425,156.25
5. Step 5: Solve for x
   x = 47,094,425,156.25/101,466
6. Step 6: Final answer
   x = 464,139.96