Finding the Third Proportional to 116,316 and 174,469.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,316 : 174,469.50 = 174,469.50 : x
2. Step 2: Convert to fraction form
   116,316/174,469.50 = 174,469.50/x
3. Step 3: Cross multiply
   116,316x = 174,469.50 × 174,469.50
4. Step 4: Simplify right side
   116,316x = 30,439,606,430.25
5. Step 5: Solve for x
   x = 30,439,606,430.25/116,316
6. Step 6: Final answer
   x = 261,697.50