Finding the Third Proportional to 94,466 and 199,595.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,466 : 199,595.50 = 199,595.50 : x
2. Step 2: Convert to fraction form
   94,466/199,595.50 = 199,595.50/x
3. Step 3: Cross multiply
   94,466x = 199,595.50 × 199,595.50
4. Step 4: Simplify right side
   94,466x = 39,838,363,620.25
5. Step 5: Solve for x
   x = 39,838,363,620.25/94,466
6. Step 6: Final answer
   x = 421,721.72