Finding the Third Proportional to 116,463 and 175,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,463 : 175,801.50 = 175,801.50 : x
2. Step 2: Convert to fraction form
   116,463/175,801.50 = 175,801.50/x
3. Step 3: Cross multiply
   116,463x = 175,801.50 × 175,801.50
4. Step 4: Simplify right side
   116,463x = 30,906,167,402.25
5. Step 5: Solve for x
   x = 30,906,167,402.25/116,463
6. Step 6: Final answer
   x = 265,373.27