Finding the Third Proportional to 116,593.88 and 185,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,593.88 : 185,404.50 = 185,404.50 : x
2. Step 2: Convert to fraction form
   116,593.88/185,404.50 = 185,404.50/x
3. Step 3: Cross multiply
   116,593.88x = 185,404.50 × 185,404.50
4. Step 4: Simplify right side
   116,593.88x = 34,374,828,620.25
5. Step 5: Solve for x
   x = 34,374,828,620.25/116,593.88
6. Step 6: Final answer
   x = 294,825.34