Finding the Third Proportional to 47,031 and 91,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,031 : 91,705.50 = 91,705.50 : x
2. Step 2: Convert to fraction form
   47,031/91,705.50 = 91,705.50/x
3. Step 3: Cross multiply
   47,031x = 91,705.50 × 91,705.50
4. Step 4: Simplify right side
   47,031x = 8,409,898,730.25
5. Step 5: Solve for x
   x = 8,409,898,730.25/47,031
6. Step 6: Final answer
   x = 178,816.07