Finding the Third Proportional to 73,926 and 114,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,926 : 114,682.50 = 114,682.50 : x
2. Step 2: Convert to fraction form
   73,926/114,682.50 = 114,682.50/x
3. Step 3: Cross multiply
   73,926x = 114,682.50 × 114,682.50
4. Step 4: Simplify right side
   73,926x = 13,152,075,806.25
5. Step 5: Solve for x
   x = 13,152,075,806.25/73,926
6. Step 6: Final answer
   x = 177,908.66