Finding the Third Proportional to 109,777.50 and 236,199

Step by Step Solution

1. Step 1: Write the proportion equation
   109,777.50 : 236,199 = 236,199 : x
2. Step 2: Convert to fraction form
   109,777.50/236,199 = 236,199/x
3. Step 3: Cross multiply
   109,777.50x = 236,199 × 236,199
4. Step 4: Simplify right side
   109,777.50x = 55,789,967,601
5. Step 5: Solve for x
   x = 55,789,967,601/109,777.50
6. Step 6: Final answer
   x = 508,209.49