Finding the Third Proportional to 121,926 and 182,893.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,926 : 182,893.50 = 182,893.50 : x
2. Step 2: Convert to fraction form
   121,926/182,893.50 = 182,893.50/x
3. Step 3: Cross multiply
   121,926x = 182,893.50 × 182,893.50
4. Step 4: Simplify right side
   121,926x = 33,450,032,342.25
5. Step 5: Solve for x
   x = 33,450,032,342.25/121,926
6. Step 6: Final answer
   x = 274,347.00