Finding the Third Proportional to 61,749 and 134,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,749 : 134,419.50 = 134,419.50 : x
2. Step 2: Convert to fraction form
   61,749/134,419.50 = 134,419.50/x
3. Step 3: Cross multiply
   61,749x = 134,419.50 × 134,419.50
4. Step 4: Simplify right side
   61,749x = 18,068,601,980.25
5. Step 5: Solve for x
   x = 18,068,601,980.25/61,749
6. Step 6: Final answer
   x = 292,613.68