Finding the Third Proportional to 65,774.63 and 139,748.25

Step by Step Solution

1. Step 1: Write the proportion equation
   65,774.63 : 139,748.25 = 139,748.25 : x
2. Step 2: Convert to fraction form
   65,774.63/139,748.25 = 139,748.25/x
3. Step 3: Cross multiply
   65,774.63x = 139,748.25 × 139,748.25
4. Step 4: Simplify right side
   65,774.63x = 19,529,573,378.06
5. Step 5: Solve for x
   x = 19,529,573,378.06/65,774.63
6. Step 6: Final answer
   x = 296,916.53