Finding the Third Proportional to 116,309 and 174,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,309 : 174,607.50 = 174,607.50 : x
2. Step 2: Convert to fraction form
   116,309/174,607.50 = 174,607.50/x
3. Step 3: Cross multiply
   116,309x = 174,607.50 × 174,607.50
4. Step 4: Simplify right side
   116,309x = 30,487,779,056.25
5. Step 5: Solve for x
   x = 30,487,779,056.25/116,309
6. Step 6: Final answer
   x = 262,127.43