Finding the Third Proportional to 81,907.50 and 123,438

Step by Step Solution

1. Step 1: Write the proportion equation
   81,907.50 : 123,438 = 123,438 : x
2. Step 2: Convert to fraction form
   81,907.50/123,438 = 123,438/x
3. Step 3: Cross multiply
   81,907.50x = 123,438 × 123,438
4. Step 4: Simplify right side
   81,907.50x = 15,236,939,844
5. Step 5: Solve for x
   x = 15,236,939,844/81,907.50
6. Step 6: Final answer
   x = 186,026.19