Finding the Third Proportional to 52,298 and 114,316

Step by Step Solution

1. Step 1: Write the proportion equation
   52,298 : 114,316 = 114,316 : x
2. Step 2: Convert to fraction form
   52,298/114,316 = 114,316/x
3. Step 3: Cross multiply
   52,298x = 114,316 × 114,316
4. Step 4: Simplify right side
   52,298x = 13,068,147,856
5. Step 5: Solve for x
   x = 13,068,147,856/52,298
6. Step 6: Final answer
   x = 249,878.54