Finding the Third Proportional to 99,742.50 and 214,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,742.50 : 214,303.50 = 214,303.50 : x
2. Step 2: Convert to fraction form
   99,742.50/214,303.50 = 214,303.50/x
3. Step 3: Cross multiply
   99,742.50x = 214,303.50 × 214,303.50
4. Step 4: Simplify right side
   99,742.50x = 45,925,990,112.25
5. Step 5: Solve for x
   x = 45,925,990,112.25/99,742.50
6. Step 6: Final answer
   x = 460,445.55