Finding the Third Proportional to 52,186.50 and 114,219

Step by Step Solution

1. Step 1: Write the proportion equation
   52,186.50 : 114,219 = 114,219 : x
2. Step 2: Convert to fraction form
   52,186.50/114,219 = 114,219/x
3. Step 3: Cross multiply
   52,186.50x = 114,219 × 114,219
4. Step 4: Simplify right side
   52,186.50x = 13,045,979,961
5. Step 5: Solve for x
   x = 13,045,979,961/52,186.50
6. Step 6: Final answer
   x = 249,987.64