Finding the Third Proportional to 109,624.50 and 235,567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,624.50 : 235,567.50 = 235,567.50 : x
2. Step 2: Convert to fraction form
   109,624.50/235,567.50 = 235,567.50/x
3. Step 3: Cross multiply
   109,624.50x = 235,567.50 × 235,567.50
4. Step 4: Simplify right side
   109,624.50x = 55,492,047,056.25
5. Step 5: Solve for x
   x = 55,492,047,056.25/109,624.50
6. Step 6: Final answer
   x = 506,201.14