Finding the Third Proportional to 36,955 and 83,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,955 : 83,774.50 = 83,774.50 : x
2. Step 2: Convert to fraction form
   36,955/83,774.50 = 83,774.50/x
3. Step 3: Cross multiply
   36,955x = 83,774.50 × 83,774.50
4. Step 4: Simplify right side
   36,955x = 7,018,166,850.25
5. Step 5: Solve for x
   x = 7,018,166,850.25/36,955
6. Step 6: Final answer
   x = 189,911.16