Finding the Third Proportional to 132,994 and 194,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   132,994 : 194,536.50 = 194,536.50 : x
2. Step 2: Convert to fraction form
   132,994/194,536.50 = 194,536.50/x
3. Step 3: Cross multiply
   132,994x = 194,536.50 × 194,536.50
4. Step 4: Simplify right side
   132,994x = 37,844,449,832.25
5. Step 5: Solve for x
   x = 37,844,449,832.25/132,994
6. Step 6: Final answer
   x = 284,557.57