Finding the Third Proportional to 49,465 and 116,649.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,465 : 116,649.50 = 116,649.50 : x
2. Step 2: Convert to fraction form
   49,465/116,649.50 = 116,649.50/x
3. Step 3: Cross multiply
   49,465x = 116,649.50 × 116,649.50
4. Step 4: Simplify right side
   49,465x = 13,607,105,850.25
5. Step 5: Solve for x
   x = 13,607,105,850.25/49,465
6. Step 6: Final answer
   x = 275,085.53