Finding the Third Proportional to 46,730 and 102,801.50

Step by Step Solution

1. Step 1: Write the proportion equation
   46,730 : 102,801.50 = 102,801.50 : x
2. Step 2: Convert to fraction form
   46,730/102,801.50 = 102,801.50/x
3. Step 3: Cross multiply
   46,730x = 102,801.50 × 102,801.50
4. Step 4: Simplify right side
   46,730x = 10,568,148,402.25
5. Step 5: Solve for x
   x = 10,568,148,402.25/46,730
6. Step 6: Final answer
   x = 226,153.40