Finding the Third Proportional to 129,927 and 194,368.50

Step by Step Solution

1. Step 1: Write the proportion equation
   129,927 : 194,368.50 = 194,368.50 : x
2. Step 2: Convert to fraction form
   129,927/194,368.50 = 194,368.50/x
3. Step 3: Cross multiply
   129,927x = 194,368.50 × 194,368.50
4. Step 4: Simplify right side
   129,927x = 37,779,113,792.25
5. Step 5: Solve for x
   x = 37,779,113,792.25/129,927
6. Step 6: Final answer
   x = 290,771.85