Finding the Third Proportional to 183,493 and 271,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   183,493 : 271,837.50 = 271,837.50 : x
2. Step 2: Convert to fraction form
   183,493/271,837.50 = 271,837.50/x
3. Step 3: Cross multiply
   183,493x = 271,837.50 × 271,837.50
4. Step 4: Simplify right side
   183,493x = 73,895,626,406.25
5. Step 5: Solve for x
   x = 73,895,626,406.25/183,493
6. Step 6: Final answer
   x = 402,716.32