Finding the Third Proportional to 90,031.50 and 193,724.16

Step by Step Solution

1. Step 1: Write the proportion equation
   90,031.50 : 193,724.16 = 193,724.16 : x
2. Step 2: Convert to fraction form
   90,031.50/193,724.16 = 193,724.16/x
3. Step 3: Cross multiply
   90,031.50x = 193,724.16 × 193,724.16
4. Step 4: Simplify right side
   90,031.50x = 37,529,048,714.77
5. Step 5: Solve for x
   x = 37,529,048,714.77/90,031.50
6. Step 6: Final answer
   x = 416,843.53