Finding the Third Proportional to 90,733.50 and 206,964

Step by Step Solution

1. Step 1: Write the proportion equation
   90,733.50 : 206,964 = 206,964 : x
2. Step 2: Convert to fraction form
   90,733.50/206,964 = 206,964/x
3. Step 3: Cross multiply
   90,733.50x = 206,964 × 206,964
4. Step 4: Simplify right side
   90,733.50x = 42,834,097,296
5. Step 5: Solve for x
   x = 42,834,097,296/90,733.50
6. Step 6: Final answer
   x = 472,086.91