Finding the Third Proportional to 45,633 and 98,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,633 : 98,056.50 = 98,056.50 : x
2. Step 2: Convert to fraction form
   45,633/98,056.50 = 98,056.50/x
3. Step 3: Cross multiply
   45,633x = 98,056.50 × 98,056.50
4. Step 4: Simplify right side
   45,633x = 9,615,077,192.25
5. Step 5: Solve for x
   x = 9,615,077,192.25/45,633
6. Step 6: Final answer
   x = 210,704.47